000			01885cam a2200241 a 4500
001			3750108
005			20250611111805.0
008			820415s1982 enk b 000 0 eng
020			_a9780521289818
040			_aCSL _cCSL
084			_aB27M09 M2 NBHM _qCSL
245	0	0	_aRepresentation theory : _bselected papers
260			_aCambridge : _bCambridge University Press, _c1982.
300			_a272 p. ; _c23 cm.
440		0	_aLondon Mathematical Society lecture note series ; _v69 _9812146
504			_aIncludes bibliographical references.
520			_aThis book discusses the representation theory of symmetric groups, the theory of symmetric functions and the polynomial representation theory of general linear groups. The first chapter provides a detailed account of necessary representation-theoretic background. An important highlight of this book is an innovative treatment of the Robinson–Schensted–Knuth correspondence and its dual by extending Viennot's geometric ideas. Another unique feature is an exposition of the relationship between these correspondences, the representation theory of symmetric groups and alternating groups and the theory of symmetric functions. Schur algebras are introduced very naturally as algebras of distributions on general linear groups. The treatment of Schur–Weyl duality reveals the directness and simplicity of Schur's original treatment of the subject. In addition, each exercise is assigned a difficulty level to test readers' learning. Solutions and hints to most of the exercises are provided at the end.
650		0	_aRepresentations of groups. _9714562
650		0	_aDiscrete Mathematics Information Theory and Coding _9812201
650		0	_a Permutation Representations _9812567
650		0	_aRepresentations of algebras. _9812549
942			_2CC _n0 _cTEXL _hB27M09 M2 NBHM
999			_c1431596 _d1431596